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Finding the Fourth Proportional to 172,568.33, 258,634.40 and 77,697.49

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Solution

The fourth proportional to 172,568.33, 258,634.40 and 77,697.49 is: 116,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,568.33 : 258,634.40 = 77,697.49 : x
  2. Step 2: Convert to fraction form
    172,568.33/258,634.40 = 77,697.49/x
  3. Step 3: Cross multiply
    172,568.33x = 258,634.40 × 77,697.49
  4. Step 4: Simplify right side
    172,568.33x = 20,095,242,414.48
  5. Step 5: Solve for x
    x = 20,095,242,414.48/172,568.33
  6. Step 6: Final answer
    x = 116,448.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.